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how to do "construction" problems?
Posted:
Aug 16, 2010 7:45 AM
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I recently picked up a copy of Nathan Altshiller Court's
"College Geometry".
Trying to work the exercises I realize that they are
somewhat foreign to me in what they ask so
I am not sure how to formulate the solutions.
He discusses the method of
Analysis, Construction, Proof, Discussion in doing these
problems but I am still not sure I am doing them right.
For example,
Problem:
Construct a triangle given a, B, C
My solution:
Analysis: Given the side a and the two vertex angles
B and C the corresponding sides b and c complete the
triangle
Construction: Construct sides b and c to form
triangle ABC
Proof: Follows immediately from the definition of a
triangle
Discussion: I am not sure if this is how to
formulate the solution.
Is my solution correct and is this how these things are
done? Any advice?
Thanks!
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